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Finding the Fourth Proportional to 123,057.16, 184,585.74 and 88,065.16

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Solution

The fourth proportional to 123,057.16, 184,585.74 and 88,065.16 is: 132,097.73

Step by Step Solution

  1. Step 1: Write the proportion equation
    123,057.16 : 184,585.74 = 88,065.16 : x
  2. Step 2: Convert to fraction form
    123,057.16/184,585.74 = 88,065.16/x
  3. Step 3: Cross multiply
    123,057.16x = 184,585.74 × 88,065.16
  4. Step 4: Simplify right side
    123,057.16x = 16,255,571,363.56
  5. Step 5: Solve for x
    x = 16,255,571,363.56/123,057.16
  6. Step 6: Final answer
    x = 132,097.73

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.